If population of a country increases by 2% per year.After 35 years it ...
If population of a country increases by 2% per year.After 35 years it ...
Given:
- Population of a country increases by 2% per year.
- After 35 years, the population doubles.
To find:
- After how much time will the population be 10 times the initial population?
Explanation:
Let's assume the initial population of the country is P.
After 35 years, the population will double. So, the population after 35 years will be 2P.
To find the time it takes for the population to be 10 times the initial population, we can set up the following equation:
2P * (1 + 0.02)^t = 10P
Simplifying the equation, we get:
(1.02)^t = 5
Taking the logarithm of both sides, we get:
t * log(1.02) = log(5)
Solving for t, we find:
t = log(5) / log(1.02)
Using a calculator, we can find the value of t to be approximately 115.
Therefore, after approximately 115 years, the population of the country will be 10 times the initial population.
Answer:
The correct answer is 2) 115 years.